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Finding the Fourth Proportional to 19,885.76, 29,832.24 and 8,192.60

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Solution

The fourth proportional to 19,885.76, 29,832.24 and 8,192.60 is: 12,290.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,885.76 : 29,832.24 = 8,192.60 : x
  2. Step 2: Convert to fraction form
    19,885.76/29,832.24 = 8,192.60/x
  3. Step 3: Cross multiply
    19,885.76x = 29,832.24 × 8,192.60
  4. Step 4: Simplify right side
    19,885.76x = 244,403,609.42
  5. Step 5: Solve for x
    x = 244,403,609.42/19,885.76
  6. Step 6: Final answer
    x = 12,290.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.